Graph the function. Identify the vertex and axis of symmetry
f(x) = –x2 – x + 2

Answers

Answer 1

Answer: I hope this is right (-5) + (-4) + (7);
= -9 + 7;
= -2

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What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

What is the measure of an interior angle of a regular polygon iwth 15 sides

Answers

To find the measure of an interior angle of any regular polygon, we use the formula:

180 * (n-2) / n,

where n is the number of sides in the regular polygon.

Therefore, if there are 15 sides in the regular polygon, your answer would be

180 * (15-2) / 15,

or when simplified,

180 * 13 / 15

2340 / 15

156 degrees.

Thus, the measure of an interior angle of a regular polygon with 15 sides is 156 degrees.

What are the domain, range, and asymptote h(x) = (0.5)x -9

Answers

1. You have the following function given in the problem:

h(x) = (0.5)x -9

2. As you can see, the function has the form f(x)=mx+b, therefore, the function h(x) = (0.5)x -9 is known as "linear function".

3. When you graph it, you obtain a line.

-The domain of the function is:

R( All the real numbers)

-The range of the function is:

R (All the real numbers)

- h(x) = (0.5)x -9 is asymptotic to h(x) = (0.5)x -9

Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift? A. f(x) + k B. kf(x) C. f(x + k) D. f(kx)

Answers

Theere are certain rules that apply:
1. f(x)+k = vertical shift
2. kf(x) = vertical stretch/shrink (depending)
3. f(x+k) = phase shift, also known as a horizantal shift.
4. f(kx) = Horizantal stretch/shrink

The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.

Answer:

Step-by-step explanation:

i wouldnt lie to you

What is the probability that a passenger prefers to sit in front of the plane and prefers a window seat

Answers

Answer:

Step-by-step explanation:

This is a probability question.

We want to calculate the probability that a passenger prefers to sit in front of the plane and at a window seat.

The answer here is directly obtainable from the table. Let’s take a look at that point where we have the front and window merging. We can see that the figure here is 8

Thus, the probability that we want to calculate is this figure over the total = 8/36

= 2/9

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation h = -2t^(2) + 7t + 4 models the toy's height h in feet from the ground at t seconds after he threw it. a) How high is the toy after 0-4 seconds?

Answers

Step-by-step explanation:

The height attained by the toy as a function of time t is given by :

$h = -2t^2 + 7t + 4$

h is in feet and t is in seconds

Height of the toy at t = 0

$h = -29(0)^2 + 7(0) + 4=4\ ft$

Height of the toy at t = 4 seconds is :

$h=-2(4)^2 + 7(4)+ 4=0$

So, between 0 to 4 seconds, height of the toy is 4 feets.

Final answer:

The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.

Explanation:

The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.

For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.

For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.

For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.

For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.

For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.